From the graph, the equation of f(x) + g(x) is f(x) + g(x) = 2x + 3
<h3>How to determine the graph of f(x) + g(x)?</h3>The functions are given as:
f(x) = x + 3
g(x) = x
From the above functions, we can see that the function g(x) is the parent function of a linear function.
When the parent function of a linear function is added to another function to form a composite function, the new function would pass through the following points
(x, y)= (0, b) and (-b, -b)
Where b is the y-intercept of the other function
i.e b = 3 from f(x) = x + 3
So, we have the following points
(0, 3) and (-3, -3)
Next, we draw the points and we connect the points
When the equation of f(x) + g(x) is calculated, we have
f(x) + g(x) = 2x + 3
See attachment for the graph of the functions
Read more about composite functions at:
#SPJ1
Step-by-step explanation:
1.) Plug in one of the points.
y = 8x + b
6 = 8(4) + b
2.) Solve for b (or [?])
32 cancels out on the right side.
Subtract 32 from 6, which is -26
3.) -26 = b
4.) Check with other point:
-2 = 8(3) + b
-2 = 24 + b
Cancel out 24 on the right side: 24-24 = 0
-2 - 24 = -26
-26 = b
Question not well presented and diagram is missing
Quadrilateral WILD is inscribed in circle O.
WI is a diameter of circle O.
What is the measure of angle D?
See attached for diagram
Answer:
Step-by-step explanation:
Summation of opposite angles of a quadrilateral inscribed in a circle is 180°, given that the vertices are on the circle.
Given
<WIL = 45°
<ILD = 109°
In the attached;
<WIL + <WDL = 180° (Opposite angle of quadrilateral)
Substitute 45° for <WIL in the above expression
45° + <WDL = 180° ---- Collect like terms
<WDL = 180° - 45°
<WDL = 135°
Hence, the measure of angle D is 135° (See attached)
